SELECTED PUBLICATIONS

1) Keyfitz, B.L. and Lopes Filho, M.C., A geometric study of shocks in systems that change type, J. Dynamics and Diff. Eq. 6 (1994), 351-393.

2) Lopes Filho, M.C. and Nussenzveig Lopes, H.J.,  Singularity formation for a system of conservation laws in two space dimensions, J. of Math. Anal. Appl. 200 (1996) 538-547.

3) Lopes Filho, M.C. and Nussenzveig Lopes, H.J., An extension of C. Marchioro's bound on the growth of a vortex patch to flows with L^p vorticity, SIAM J. Math. Anal., 29, 3 (1998)  596-599.

 4) Lopes Filho, M.C. and Nussenzveig Lopes, H.J., Propagation of support and singularity formation for a class of 2D quasilinear hyperbolic systems, Quarterly of Appl. Math., 57 (1999), no. 2, 229-243.

 5)  Hounie, J., Lopes Filho, M.C., Nussenzveig Lopes, H.J. and Schochet, S., A priori temporal regularity for the stream function of 2D, incompressible, inviscid flow,  Nonlinear Analysis, T.M.A., 35 (1999) 871-884.

 6) Lopes Filho, M.C., Nussenzveig Lopes, H.J. and Zheng, Y., Convergence of the vanishing viscosity approximation for superpositions of confined eddies, Commun. Math. Phys., 201 (1999) 291-304.

 7)  Hounie, J., Lopes Filho, M.C. and  Nussenzveig Lopes, H.J., Bounds on the dispersion of vorticity in 2D incompressible, inviscid flows with a priori unbounded velocity,  SIAM J. Math. Anal., 31 (1999), 134-153.

 8) Lopes Filho, M.C., Nussenzveig Lopes, H.J. and Tadmor, E., Approximate solutions for the incompressible Euler equations with no concentrations., Ann. Institut. Henri Poincare C, Analyse non Lineaire, 17 (2000),  371-412.

 9) Lopes Filho, M.C., Nussenzveig Lopes, H.J. and Xin, Z., Existence of vortex sheets with reflection symmetry in two space dimensions, Arch. Rat. Mech. Anal., 158 (2001), 235-257.

 10) Lopes Filho, M.C., Nussenzveig Lopes, H. J., Pointwise blow-up of sequences bounded in L^1, J. Math. Anal. Appl., 263 (2001), 447-454.

 11) Lopes Filho, M. C. and Nussenzveig Lopes, H. J., Existence of a weak solution for the semigeostrophic equation with integrable initial data, Proc. Royal Soc. Edinburgh, 132 (2002), 329-339.

 12) Lopes Filho, M.C., Nussenzveig Lopes, H.J. and Zheng, Y., Weak solutions to the equations of incompressible, ideal flow. Text of minicourse for the 22nd Brazilian Colloquium of Mathematics, (1999) table of contents   fulltext .

 13) Lopes Filho, M.C., Nussenzveig Lopes, H. J. and Souza, M. O., On the equation satisfied by a steady  Prandtl-Munk vortex sheet, Commun. Math. Sciences, 1 (2003), 68-73. reprint

 14) Iftimie, D., Lopes Filho, M. C. and Nussenzveig Lopes H. J., Two dimensional incompressible, ideal flow around a small obstacle, Commun. Partial Diff. Eqs., 28 (2003), no. 1-2, 349-379. reprint

 15) Iftimie, D., Lopes Filho, M. C. and Nussenzveig Lopes H. J., Large time behavior of vortex evolution in the half-plane, Commun. Math. Phys., 237 (2003), 441-469.  reprint

 16) Iftimie, D., Lopes Filho, M. C. and Nussenzveig Lopes H. J., On the large time behavior of two-dimensional vortex evolution, Physica D, 179 (2003), 153-160.

 17) Lopes Filho, M. C., Nussenzveig Lopes, H. J. and Planas, G. V., On the inviscid limit for 2D incompressible flow with Navier friction condition,  SIAM J. Math Analysis, 36 (2005) 1130-1141 reprint

18) Lopes Filho, M. C., Mazzucato, A. and Nussenzveig Lopes H. J., Weak solutions, renormalized solutions and enstrophy defects in 2D turbulence, Arch. Rat. Mech. Analysis, 179 (2006) 353-387 reprint.

  1. Lopes Filho, M.C., Nussenzveig Lopes, H.J. and Schochet, S.,  A criterion for the equivalence of the Birkhoff Rott and Euler descriptions of vortex sheet evolution, a aparecer, Transactions of the AMS  reprint .

  2.  Lopes Filho, M.C., Lowengrub, J., Nussenzveig Lopes, H.J. and Zheng, Y.,  Numerical evidence of nonuniqueness in the evolution of vortex sheets, Mod. Math. Anal. Numer. 40 (2006), 225-237.

  3. Lopes Filho, M.C., Nussenzveig Lopes, H. J., and Xin, Z., Vortex sheets with reflection symmetry in exterior domains, J. Diff. Equations 229 (2006), 154-171.

  4. Iftimie,D., Lopes Filho, M.C. and Nussenzveig Lopes, H.J., Two dimensional incompressible viscous flow around a small obstacle. Math. Ann., 336 (2006), 449-489.

  5. Lopes Filho, M.C., Vortex dynamics in a two dimensional domain with holes and the small obstacle limit. aceito para publicacao, SIAM Journal on Mathematical Analysis, 2006.

  6. Iftimie, D., Lopes Filho, M. C. and Nussenzveig Lopes, H.J., Confinement of vorticity in two dimensional incompressible ideal exterior flow. Aceito para publicacao, Quart. of Appl. Math., 2007.

  7. Lopes Filho, M.C., Mazzucato, A.L. and Nussenzveig Lopes, H.J., Vanishing viscosity limit for incompressible flow inside a rotating cylinder, submetido.

  8. Fernandes, F.Z. and Lopes Filho, M.C., Two dimensional incompressible ideal flow in a noncylindrical material domain, submetido.